Finite difference approximations of generalized solutions

Authors:
Endre Süli, Boško Jovanović and Lav Ivanović

Journal:
Math. Comp. **45** (1985), 319-327

MSC:
Primary 65N05; Secondary 65N15

MathSciNet review:
804926

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Abstract: We consider finite difference schemes approximating the Dirichlet problem for the Poisson equation. We provide scales of error estimates in discrete Sobolev-like norms assuming that the generalized solution belongs to a nonnegative order Sobolev space.

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DOI:
https://doi.org/10.1090/S0025-5718-1985-0804926-6

Article copyright:
© Copyright 1985
American Mathematical Society